The Two-dimensional Harmonic Oscillator on a Noncommutative Space with Minimal Uncertainties

Autor:	Sanjib Dey, Andreas Fring
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	noncommutative space non-Hermitian operators 2D-systems Engineering (General). Civil engineering (General) TA1-2040
Zdroj:	Acta Polytechnica, Vol 53, Iss 3 (2013)
Druh dokumentu:	article
ISSN:	1210-2709 1805-2363
Popis:	The two dimensional set of canonical relations giving rise to minimal uncertainties previously constructed from a q-deformed oscillator algebra is further investigated. We provide a representation for this algebra in terms of a flat noncommutative space and employ it to study the eigenvalue spectrum for the harmonic oscillator on this space. The perturbative expression for the eigenenergy indicates that the model might possess an exceptional point at which the spectrum becomes complex and its PT-symmetry is spontaneously broken.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/caa0a15fed9f48ca8166327b1553a291 Zobrazit plný text záznamu View record in DOAJ